A rectangular tank, 70 cm by 45 cm by 35 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a pail is 7 : 2. If
57 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the tank.
(a)
Volume of water in the tank
= 70 x 45 x 6
= 18900 cm
3 7 u = 18900 cm
3 1 u = 18900 ÷ 7 = 2700 cm
3 2 u = 2 x 2700 = 5400 cm
3 Volume of water in
57 of the pail = 5400 cm
3 Volume of the pail
= 5400 ÷
57 = 5400 x
75 = 7560 cm
3 (b)
Volume of the tank
= 70 x 45 x 35
= 110250 cm
3 Number of pails to fill the tank
= 110250 ÷ 7560
= 14 r 4410
Minimum number of pails to fill the tank
= 14 + 1
= 15
Answer(s): (a) 7560 cm
3; (b) 15